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多自由度强非线性系统的一种近似解法
Approximate Method for Strongly Nonlinear Systems with Many Degrees of Freedom
【摘要】 将单自由度的频闪法推广到多自由度系统,建立了多自由度强非线性系统的频闪方程,求出了系统的周期解的近似表达式,分析了近似周期解的存在性和稳定性⒚
【Abstract】 The stroboscopic method presented by Li Li for the study of strongly nonlinear systems with single degree of freedom is extended to systems with many degrees of freedom.By using the method,the stroboscopic equations are set up and the approximate expressions of periodic solutions are determined.The existance and stability of the approximate periodic solutions can be analyzed.
【关键词】 强非线性系统;
多自由度;
频闪法;
近似解;
【Key words】 strongly nonlinear system; many degrees of freedom; the stroboscopic method; approximate solution;
【Key words】 strongly nonlinear system; many degrees of freedom; the stroboscopic method; approximate solution;
【基金】 湖南省自然科学基金
- 【文献出处】 湖南大学学报(自然科学版) ,JOURNAL OF HUNAN UNIVERSITY(NATURNAL SCIENCE) , 编辑部邮箱 ,1999年04期
- 【分类号】O322
- 【被引频次】3
- 【下载频次】109